385346900 has 18 divisors (see below), whose sum is σ = 836202990. Its totient is φ = 154138720.

The previous prime is 385346881. The next prime is 385346903. The reversal of 385346900 is 9643583.

It can be written as a sum of positive squares in 3 ways, for example, as 136843204 + 248503696 = 11698^2 + 15764^2 .

It is a super-2 number, since 2×385346900² = 296984466679220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385346903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1926635 + ... + 1926834.

Almost surely, 2^385346900 is an apocalyptic number.

It is an amenable number.

385346900 is an abundant number, since it is smaller than the sum of its proper divisors (450856090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385346900 is a wasteful number, since it uses less digits than its factorization.

385346900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853483 (or 3853476 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 385346900 is about 19630.2547105227. The cubic root of 385346900 is about 727.6970648188.

The spelling of 385346900 in words is "three hundred eighty-five million, three hundred forty-six thousand, nine hundred".